Credit Risk
Overview We will discuss types and characteristics of loans made by U.S. FIs, models for measuring credit risk. Important for purposes of: Pricing loans and bonds Setting limits on credit risk exposure
Types of Loans C&I loans: secured and unsecured Syndication Spot loans, loan commitments Decline in C&I loans originated by commercial banks and growth in commercial paper market Effect of financial crisis on commercial paper market RE loans: Primarily mortgages Fixed-rate, ARMs Mortgages can be subject to default risk when loan-to-value rises and house prices fall below amount of loan outstanding
Individual (Consumer) Loans Consumer loans: personal, auto, credit card Nonrevolving loans Automobile, mobile home, personal loans Revolving loans Credit card debt (i.e., Visa, MasterCard) Proprietary cards, such as Sears and AT&T Risks affected by competitive conditions and usury ceilings Bankruptcy Reform Act of 2005 High default rates during finance crisis highlight the importance of risk evaluation prior to making a credit decision
Other loans include: Other Loans Farm loans Other banks Nonbank FIs, such as broker margin loans Foreign banks and sovereign governments State and local governments
Nonperforming Asset Ratio for U.S. Commercial Banks
Annual Net Charge-Off Rates on Loans
Retail versus Wholesale Credit At retail Decisions Usually a simple accept/reject decision rather than adjustments to the rate Credit rationing If accepted, customers sorted by loan quantity For mortgages, discrimination occurs via loanto-value rather than adjusting rates At wholesale Use both quantity and pricing adjustments
Calculating Return on a Loan Factors: Interest rate, fees, credit risk premium, collateral, and other nonprice terms, such as compensating balances and reserve requirements Return = inflow/outflow k = (f + (BR + M ))/(1-[b(1-R)]) where: k: return on the loan; f: the loan origination fee; BR: the base rate; M: the credit risk premium; b: the compensating balance requirement; R : the reserve requirement imposed by the Fed. Expected return: E(r) = p(1+k) where p equals probability of complete repayment Note that realized and expected return may not be equal
Risk Models Availability, quality, and cost of information are critical factors in credit risk assessment Facilitated by technology and information Qualitative models consider borrower specific factors as well as market, or systematic, factors Borrowed-specific factors include reputation, leverage, volatility of earnings, and collateral Market specific factors include business cycle and interest rate levels
Linear Probability Model Credit scoring models are quantitative models that use borrower characteristics to gauge an applicant s probability of default n PD i X j 1 j i, j error Major weakness is that estimated probabilities of default can often lie outside of the [0,1] interval
Logit Model Logit models Overcomes weakness of the linear probability model by restricting the estimated range of default probabilities from the linear regression model to lie between 0 and 1 Quality of credit scoring models have improved, providing positive impact on controlling write-offs and default
X X X X X Altman s Discriminant Function Z 1.2X 1.4X 3.3X Critical value of Z 1.81 1 2 3 4 5 1 2 3 0.6X 1.0X Working capital/total assets ratio Retained earnings/total assets ratio EBIT/total assets ratio Market value equity/ book value of total liabilities Sales/total assets ratio 4 5
Mortality Rate Models Similar to the process employed by insurance companies to price policies; the probability of default is estimated from past data on defaults Marginal Mortality Rates: MMR MMR 1 2 Value Grade B default in year 1 Value Grade B outstanding yr.1 Value Grade B default in year 2 Value Grade B outstanding yr.2 Has many of the problems associated with credit scoring models, such as sensitivity to the period chosen to calculate the MMRs
RAROC Models Risk-adjusted return on capital One of the most widely used models RAROC = (One year NI on a loan)/(loan risk) Loan risk estimated from loan default rates, or using duration
Using Duration to Estimate Loan Risk For denominator of RAROC, duration approach used to estimate loss in value of the loan: ΔLN/LN -DLN ΔR/ 1 R